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Finding the Fourth Proportional to 392.94, 589.77 and 187.65

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Solution

The fourth proportional to 392.94, 589.77 and 187.65 is: 281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.94 : 589.77 = 187.65 : x
  2. Step 2: Convert to fraction form
    392.94/589.77 = 187.65/x
  3. Step 3: Cross multiply
    392.94x = 589.77 × 187.65
  4. Step 4: Simplify right side
    392.94x = 110,667.39
  5. Step 5: Solve for x
    x = 110,667.39/392.94
  6. Step 6: Final answer
    x = 281.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.